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Finding the Third Proportional to 206,415.56 and 426,989.25

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Solution

The third proportional to 206,415.56 and 426,989.25 is: 883,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415.56 : 426,989.25 = 426,989.25 : x
  2. Step 2: Convert to fraction form
    206,415.56/426,989.25 = 426,989.25/x
  3. Step 3: Cross multiply
    206,415.56x = 426,989.25 × 426,989.25
  4. Step 4: Simplify right side
    206,415.56x = 182,319,819,615.56
  5. Step 5: Solve for x
    x = 182,319,819,615.56/206,415.56
  6. Step 6: Final answer
    x = 883,265.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.